To toss some names out there.
Rd 1: Luck, Barkley, or RG3
Rd 3: Any two of the following, in vague order of wantness: CB Casey Hayward, NT Dontari Poe or Alameda Ta'amu, OG Ryan Miller, WR Nick Toon
Rd 4+4: ILB Tanner Brock, ILB Adrien Cole, WR Juron Criner, WR Jarrett Boykin, WR DeVier Posey, NT Mister Cobble (sick name), CB Coryell Judy
Rd 5: OT Mike Ryan, OT Jeremiah Sirles, any of the above who fall
Rd 6+7: OG Chris Jacobson, K Randy Bullock, K(/P) Quinn Sharp
This is if we don't become completely certain that Jammal Brown can't play any more. If that's the case, need to upgrade OT as a priority.